Question

If HCF of 2 numbers 54 and 81 is 27 find its LCM

Answer 1

Use the relation $a~\times~b=\text{HCF}\times\text{LCM}$.

$54~\times~81~=~27\times\text{LCM}\implies\text{LCM}=\dfrac{54~\times~81}{27}~=~162$

Answer 2

given,

the two numbers are 54 and 81

hcf = 27

product of two numbers = hcf ×lcm

⇒ 54×81=27×lcm

lcm= (54×81)÷27

     = 162

therefore 162 is the lcm